Fundamental groups of proper varieties are finitely presented

2023/03/16 by Marcin Lara, Lara, Marcin, Vasudevan Srinivas +3
Computer Science · Mathematics · #14F20 #14F35 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Number Theory (math.NT) #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2303.11161

openalex publication_date 2023/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It was recently proven by Esnault, Shusterman and the second named author, that the étale fundamental group of a connected smooth projective variety over an algebraically closed field k is finitely presented. In this note, we extend this result to all connected proper schemes over k.

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